514008200 has 48 divisors (see below), whose sum is σ = 1196577060. Its totient is φ = 205344000.

The previous prime is 514008199. The next prime is 514008203. The reversal of 514008200 is 2800415.

It can be written as a sum of positive squares in 6 ways, for example, as 30096196 + 483912004 = 5486^2 + 21998^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (514008203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 275270 + ... + 277130.

Almost surely, 2^514008200 is an apocalyptic number.

514008200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

514008200 is an abundant number, since it is smaller than the sum of its proper divisors (682568860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

514008200 is a wasteful number, since it uses less digits than its factorization.

514008200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 514008200 is about 22671.7489400355. The cubic root of 514008200 is about 801.0445729905.

Adding to 514008200 its reverse (2800415), we get a palindrome (516808615).

The spelling of 514008200 in words is "five hundred fourteen million, eight thousand, two hundred".